Now in an updated
third edition, this invaluable resource takes a practical and accessible
approach to identifying and diagnosing many of the factors that
contribute to mathematical learning difficulties and dyscalculia. Using a
combination of formative and summative approaches, it provides a range
of norm-referenced, standardised tests and diagnostic activities, each
designed to reveal common error patterns and misconceptions in order to
form a basis for intervention. Revised to reflect developments in the
understanding of learning difficulties in mathematics, the book gives a
diagnostic overview of a range of challenges to mathematical learning,
including difficulties in grasping and retaining facts, problems with
mathematics vocabulary and maths anxiety.
Key features of this book include:
Drawing on tried and tested methods, as well as the author’s extensive experience and expertise, this book is written in an engaging and user-friendly style. It is a vital resource for anyone who wants to accurately identify the depth and nature of mathematical learning difficulties and dyscalculia.
Foreword by Professor Maggie Snowling 1. Introduction: Dyscalculia and mathematical learning difficulties: The test protocol. 2. Diagnosis, assessment and teaching: The benefits of linking. 3. The Dyscalculia Checklist: 31 characteristics that can contribute to maths failure 4. Starting the assessment/diagnosis: Getting to know the person through informal activities. 5. Short term memory and working memory: The two key underlying skills that influence learning. 6. Tests of basic facts: Addition, subtraction, multiplication and division. Their role in maths LD and dyscalculia. 7. Mathematics anxiety: Which topics and activities create anxiety. 8. The 15-minute norm-referenced mathematics test: Basic computations and algebra designed to compare performances. 9. Errors and the 15-minute mathematics test: Recognising and understanding common error patterns. 10. Cognitive (thinking) style: How learners think through maths problems. 11. Estimation: A key life skill used to develop more confidence with mathematics. 12. Mathematics vocabulary and word problems: Exploring how they contribute to mathematics learning difficulties 13. Criterion-referenced (formative) tests: Focusing on identified problems and showing how to build ongoing diagnosis into teaching. 14. Speed of working: The implications of ‘doing mathematics’ quickly. 15. Two Sample Reports. Appendix 1 A sample ‘Teacher Observations’ pro-forma Appendix 2 A pre-assessment pro-forma for parents/carers Appendix 3 Schools, Colleges, institutions and individuals who provided data for the norm-referenced tests in Chapters 6 and 8. References Index